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Finding the Fourth Proportional to 7,318.92, 10,978.40 and 1,772.25

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Solution

The fourth proportional to 7,318.92, 10,978.40 and 1,772.25 is: 2,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,318.92 : 10,978.40 = 1,772.25 : x
  2. Step 2: Convert to fraction form
    7,318.92/10,978.40 = 1,772.25/x
  3. Step 3: Cross multiply
    7,318.92x = 10,978.40 × 1,772.25
  4. Step 4: Simplify right side
    7,318.92x = 19,456,469.40
  5. Step 5: Solve for x
    x = 19,456,469.40/7,318.92
  6. Step 6: Final answer
    x = 2,658.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.